The scaling limits of KMS states on the Rindler horizon
J. Damek
Abstract
The standard concept of scaling limits of distributions on manifolds is reformulated, and then a new framework for scaling at boundary points is provided. Next, we introduce a class of so-called L1 - KMS states, which is subsequently fully characterized for the Rindler wedge. Using these tools, we compute rigorously the scaling limit of the regular KMS state of the free scalar quantum field on the Rindler horizon. Thereby, we correct certain inaccurate results of founding paper [1], nevertheless fully corroborating the physical essence of them.
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